Browsing Teses e dissertações by Subject "Algebraic topology"

Now showing items 1-5 of 5

    • Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam 

      Pereiro, Carolina de Miranda e (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/02/2011)
      The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem. We studied there generalizations with respect to any comapact and Hausdor T- space. We used in the proofs the Z2-index of Yang and the B-index. ...

    • Involuções fixando RP(6)URP(2n) e variedades compatíveis com o ponto com respeito à involuções 

      Costa, Jessica Cristina Rossinati Rodrigues da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/11/2020)
      In this work, we have two objectives: the first lives in the context of the classification, up to equivariant cobordism, of the pairs (M, T) , where M is a closed and smooth manifold and T is a smooth involution ...

    • Compactly-supported and relative integration in differential cohomology 

      Barbosa, Brenno Gustavo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 11/04/2022)
      In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration ...

    • Categoria de Lusternik-Schnirelmann e aplicações 

      Ferreira, Junio Cesar (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 14/02/2022)
      The Lusternik-Schnirelmann category associates a positive integer to each topological space. This number is an important invariant in algebraic topology, critical point theory and symplectic geometry. In this dissertation ...

    • Merge trees decoradas e TDA 

      Falsarella, Guilherme de Carvalho (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/08/2023)
      In this document, first we will introduce Persistance Homology and Category Theory basic concepts. Afterwards, we will develop the Merge Tree Theory which will be useful to keep track of connected components evolution of ...